2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the Vietoris-Rips Complexes of Integer Lattices
Raju Kumar Gupta, Sourav Sarkar, Samir Shukla
For a metric space and , the Vietoris-Rips complex is a simplicial complex whose simplices are finite subsets of with diameter at most . Vi…
Normal -pseudomanifolds with a relative 2-skeleton
Biplab Basak, Mangaldeep Saha, Sourav Sarkar
The study of face-number-related invariants in simplicial complexes is a central topic in combinatorial topology. Among these, the invariant plays a significant role. For a n…
Embeddings of edge-colored dual graphs of balanced 3- and 4-manifolds
Biplab Basak, Sourav Sarkar
This article focuses on a class of properly edge-colored graphs, which arise from topological combinatorics, and investigates their embeddings onto surfaces. Specifically, these gr…
Minimal simplicial degree self-maps of
Anshu Agarwal, Biplab Basak, Sourav Sarkar
The degree of a map between orientable manifolds is a fundamental concept in topology, providing important information about the structure of manifolds and the behavior of maps bet…
On the matching complexes of categorical product of path graphs
Raju Kumar Gupta, Sourav Sarkar, Sagar S. Sawant +1
The matching complex of a graph is a simplicial complex whose simplices are matchings in . These complexes appear in various places and found applications in…
A characterization of -minimal normal 3-pseudomanifolds with at most four singularities
Biplab Basak, Raju Kumar Gupta, Sourav Sarkar
Let be a -minimal normal 3-pseudomanifold. A vertex in whose link is not a sphere is called a singular vertex. When contains at most two singular vertices, its com…